Pith Number

pith:H6FRDRK2

pith:2015:H6FRDRK2AZGREFPA5BQFEDGLWM

not attested not anchored not stored refs pending

Noncrossing partitions, toggles, and homomesies

David Einstein, Emily Gunawan, James Propp, Matthew Macauley, Michael Joseph, Miriam Farber, Simon Rubinstein-Salzedo

arxiv:1510.06362 v2 · 2015-10-21 · math.CO · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6FRDRK2AZGREFPA5BQFEDGLWM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:00:46.174076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f8b11c55a064d1215e0e860520ccbb314f726ed2804eb15875e7e993b8e092a

Aliases

arxiv: 1510.06362 · arxiv_version: 1510.06362v2 · doi: 10.48550/arxiv.1510.06362 · pith_short_12: H6FRDRK2AZGR · pith_short_16: H6FRDRK2AZGREFPA · pith_short_8: H6FRDRK2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H6FRDRK2AZGREFPA5BQFEDGLWM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3f8b11c55a064d1215e0e860520ccbb314f726ed2804eb15875e7e993b8e092a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4becf3c63eeecd04323aa51acb61e9a92208b5c2c543fad4a3bf6318655a096",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-21T18:38:03Z",
    "title_canon_sha256": "a7de1c57d85baee9b5d63ff39bb943b34536bd7a6f1ec15fd797e294fcb5d72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06362",
    "kind": "arxiv",
    "version": 2
  }
}